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7x-35+2=-8x+12
Use the distributive property to multiply 7 by x-5.
7x-33=-8x+12
Add -35 and 2 to get -33.
7x-33+8x=12
Add 8x to both sides.
15x-33=12
Combine 7x and 8x to get 15x.
15x=12+33
Add 33 to both sides.
15x=45
Add 12 and 33 to get 45.
x=\frac{45}{15}
Divide both sides by 15.
x=3
Divide 45 by 15 to get 3.